Answer: h = 3
Step-by-step explanation:
(h+1)² = 16
h+1 = √16
h+1 = 4
h = 3
Hope this helped :)
Answer:
[tex]h=3, \ h=-5[/tex]
Step-by-step explanation:
[tex](h+1)^2=16[/tex]
[tex](h+1)^2=16[/tex]
[tex]\sqrt{(h+1)^2} = \±\sqrt{16}[/tex] <== you take the square root of both sides
[tex](h+1) = \±\ 4[/tex] <== you take the square root of both sides
[tex](h+1) = +\ 4, \ (h+1) = -\ 4[/tex] <== separate into 2 equations and solve
[tex]h+1 = 4, \ h+1 = -\ 4\\\\. \ -1 -1, \ \ \ \ -1\ \ \ \ -1\\\\h=3, \ h=-5[/tex]
Hope this helps!
I NEED HELP PLEASE ILL GIVE BRAINLIEST
WHICH GRAPH SHOWS Y = -6
Answer:B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
The line on B is at the Y coordinate -6.
Horizontal is the X
Vertical is the Y
Find the area of the trapezoid
Is 6km bigger then 54,000mm?
Answer:
Yes
Step-by-step explanation:
To answer this question, we will need to know how many millimeters are in a kilometer.
1 km = 1,000,000 mm
Therefore, 6km is WAY bigger than 54,000 mm
Suppose $a(x) = 3x - 7$ and $b(x) = 2 - x^3$. What is the value of $a(b(3)) - b(a(3))$?
Answer:
-76
Step-by-step explanation:
b(3)=2-3^3 = -25.
So a(b(3))=a(-25)=3(-25)-7=-82.
a(3)=3(3)-7=2.
So b(a(3))=2-2^3 = -6.
Therefore, the value of the desired expression is -82-(-6)=-76
The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).
What is a function?
"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}
A relation is said to be a function if every element of set A has one and only one image in set B.
A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."
Given two functions are:
[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]
When the value of 'x' is 3, then the values of the given two functions are:
[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]
[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]
Now the value of the required function is:
[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]
Therefore, the value of the required function is (-88).
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Please help, I and I also need a thorough explanation, I don't understand this
Answer:
See below ↓
Step-by-step explanation:
Solve for x.
2.1.1
px + qx = ax (p + q) = ax = a / (p + q)2.1.2
2x² - 5x + 2 = 02x² - 4x - x + 2 = 02x(x - 2) - 1(x - 2) = 0(2x - 1)(x - 2) = 0x = 1/2, 22.1.3
[tex](\frac{1}{2} )^{3x+1}[/tex] = 32[tex]2x^{-3x-1} = 2^{5}[/tex]-3x - 1 = 5-3x = 6x = -2I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.
Hope this helped~
Answer:
x = a/(p+q)
x = 2 or x = 1/2
x = -2
m≤ -1 or m<4
-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.
x = -3 and y = 9.
Step-by-step explanation:
The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).
px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.
Solve quadratically for the second one.
For the third one, apply the laws of indices to work out.
32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1 = ( 1/2)^-5.......Drop the base numbers since they are common.
3x + 1 = -5.........then solve to get x as -2.
For the fourth one, we solve for m by separating it into 2.
the first one is: -11 ≤ 3m - 8.
the second one: 3m - 8 < 4
then solve like a normal equation but maintain the inequality signs.
For the integral values, you'll get them from the answers because the answers are a range
The last one you solve simultaneously either by substitution or elimination method.
HOPE THIS HELPS
Solve for x: -1 < x + 3 < 5
Answer:
- 4 < x < 2
Step-by-step explanation:
- 1 < x + 3 < 5 ( subtract 3 from each of the 3 intervals )
- 4 < x < 2
-1 < x + 3 < 5
Then subtract 3 from each of the 3 intervals
- 4 < x < 2
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In rectangle GRAM below GA =4×+17 and MR= 7x-4 find the value of x and the lenghts of GA MR
Answer: x=7, GA=MR=14
Step-by-step explanation:
please can someone help me answer the question in the picture
Help pls urgent :) plssss
Answer:
Fraction form: 1/8
Decimal form: 0.125
Step-by-step explanation:
Slope of line = [-6 - (-8)]/[8 - ( -8)]
= [-6 + 8]/[8 + 8]
= 2/16
= 1/8
= 0.125
Find the length of the altitude.
[tex]135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm[/tex]
Answer:
Area of a trapezoid :
[tex]area = \frac{a + b}{2} h[/tex]
The measures given are trapezoid
Area = 135
base 1 = 22
base 2 = 8
[tex]135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h[/tex]
Step-by-step explanation:
We can check if the answer is right
[tex] \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135[/tex]
HELP ME QUICK PLSSSSSSSS I NEED HELP
Answer:
1.b
2.c
3.a
4.a
5.d
Step-by-step explanation:
yan na po sana maka tolongPlease help to solve this question
Answer:
Step-by-step explanation:
solve for x. -5 + 5x = -(1 - 6x)
- 5 + 5x = - 1 + 6x
- 5 + 5 + 5x = - 1 + 5 + 6x
5x = 4 + 6x
5x - 6x = 6x - 6x + 4
- x = 4
x = - 4
Answer:
The answer is that x = -4.
Step-by-step explanation:
You first take away the parenthesis so it would look like this: -5+5x=-1+6x
Then, you add 5 to both sides of the problem: -5+5x+5=-1+6x+5
Then, you simplify it down: 5x=6x+4
You then subtract 6x from each side: 5x-6x=6x+4-6x
Then simplify again: -x=4
Then, divide both sides by -1: -x/-1 = 4/-1
Then simplify to get x = -4.
expression that is equivalent to 27e+24
Answer:
3(9e + 8)
Step-by-step explanation:
the highest common factor is 3 so factor it out.
Answer:
[tex]\displaystyle 3[9e + 8][/tex]
Explanation:
Sinse you were not specific in your approach, it is safe to assume that you were probably looking for how to factour this expression, and the way to do to this is to factour a 3 out the expression sinse both quantities have a common divisour of 3:
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
I am joyous to assist you at any time.
does 20, 40, 30 form a right triangle
Answer: No
Step-by-step explanation: In order for a triangle to be right, the first number and second number has to be smaller than the middle number.
20+30= 50
50>40
therefore 20,40,30 can not be a right triangle
Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)
To form a right triangle with 3 lengths, they must satisfied the equation : [tex]a^{2} +b^{2} =c^{2}[/tex] (aka pythagorean theorem)
Replace numbers : [tex]20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)[/tex]
-> These lengths do not form a right triangle.
what is the height of the prism?
Answer:
option 1
Step-by-step explanation:
[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]
your required answer
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL of cherry juice.
How many liters of fruit punch did Wes make?
Answer:
1.2 L
Step-by-step explanation:
3/4 of the bowl was full wes then filled the bowl with 300 ml so 300+300+600=1,200 = 1.2L
What is the area of the triangle shown below?
m2
1/2 bxh
1/2 30 x 12
15 x12
=12
Which equation can be used to find A, the area of the parallelogram shown?
Answer A
Calculate it correctly you will get it
Answer:
c
Step-by-step explanation:
the area of a parallelogram is given by base ×height
in this case 10×5
Goal: create a budget meal for a day
role: you are an assistant cook in karinderya.
audience: teacher, friend, neighbours and loved one.
situation: the store manager give you task to prepare a budget meal for the day,
consisting 1 rice, 1 viand, 1 fruit and 1 drink.
available food: rice (fried and plain), viand (chicken meat, pork meat
and vegetables), dessert fruit (banana and apple) and juice (pineapple juice
and mango juice)
product: the expected output must be the following:
1. customer financial capability in ordering food
2. create at least three combination of your budget meal and put a necessary
amount.
using the combination formula
My budget meal for a day will be targeted towards people who wants (weight loss) and such I will prepare a food menu of plain rice, vegetables, apple fruit and a cup of mango juice.
The customer financial capability in ordering food is very simple as it is targeted towards weight loss and as such, the rice is plain along with vegetables and as such, it will be affordable.
The three combination of my budget meal are:
Plain rice and vegetable = $3.Plain rice and an apple fruit = $ 2.5.Plain rice and a cup of mango Juice= $ 2.What food budget?A food budget is known to be the purpose a person has so as to be able to spend on food groceries.
Note that food budget is one that often includes any items a person need to buy more, such as meat, fruit and vegetables, etc.
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HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE
Answer:
4/5
Step-by-step explanation:
Here is how to solve:
We start with a term called Rise over Run. We rise up 4. We then will run to the right 5. We have a slope of 4/5x. If the line is going up, then it will be a positive slope. If the line is going down., then it will be a negative slope. So, the line is going up, so it would be a positive 4/5x
Answer:
Positive slope or (2,3)_(-3,-2)
Step-by-step explanation:
I don't find your question very clear, but I have two possible answers for you.
Positive slope, the type/name of the slope.
(2,3)_(-3,-2), the coordinates.
I hope this answers your question ^^
1. Which of the following is an example of a system of equations?
x^2 + 5y + 10 = 14
x - y = 12
x+y=12
x – 3y > 23
3x^1/3+ 2y < 100
x+y=12
3x^1/3 + 5y = -19
x + 5y < 55
Answer: (1)
Step-by-step explanation:
A system of equations must have two equations. The first option is the only one that satisfies this.
Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused
Answer:
$1200
Step-by-step explanation:
5% of $3000 = $150
multiply 8 by $150 = $1200
What is the partial fraction decomposition of StartFraction 6 x + 17 Over (x + 1) squared EndFraction?
Answer:
6/(x + 1) + 11/(x + 1)^2.
Step-by-step explanation:
6x + 17 / (x +1)^2 = A / (x + 1) + B /(x + 1)^2
Multiply through by (x + 1)^2:
6x + 17 = A(x + 1) + B
Let x = -1, then:
-6 + 17 = 0 + b
So B = 11.
Let x = 1:
6 + 17 = A(1+1) + 11
23 = 2A + 11
A = (23-11)/ 2
A = 6.
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answer:
1/8 is the smallest possible whole number length for the third side
What is the value of the y-intercept of the graph f(x)=138⋅1.9x?
Answer:
Step-by-step explanation:
The y-intercept is the point where the graph cuts the y axis - that is when x = 0.
f(x)=138⋅1.9x
ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).
An angle measures 72.6° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Ratio of boys to girls
Answer:
→Boys=6
→Girls=14
Step-by-step explanation:
[tex]Solution,\\\\Ratio\:of\:boys\:to\:girls=3:7\\\\Total\:students=20\\\\Let,\\\\\hookrightarrow Boys=3x\\\\\hookrightarrow Girls=7x\\\\Now\:we\: have,\\\\\hookrightarrow 3x+7x=20\\\\\hookrightarrow 10x=20\\\\\hookrightarrow x=20/10=2\\\\Again,\\\\\hookrightarrow Boys=3x=3\times2=6\\\\\hookrightarrow Girls=7x=7\times2=14[/tex]
The diagram shown is two intersecting lines. The measure of 5 is 47°.
a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
What is a Linear Pair?A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
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Diedra has $20 to spend. Can she buy shorts that cost $18.50?
Answer:
yes she can
Step-by-step explanation:
yes she can because $20 is great than $18.50